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What belongs in each mystery box?

Every mystery box holds the same value. Make the two sides balance.

5 × ? + 666Equal values make a level balance.

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MathsAges 16-18Algebra
Question 1 of 4
Binomial theorem coefficients

Find the coefficient of x^3 in the binomial expansion of (x + 4)^5.

Use combinations C(n, r) and powers to find specific coefficients in the binomial expansion of (x + k)ⁿ.

LHS=RHS
3 · 4 · 5 · Binomial theorem coefficie…
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Maths category

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Calculate the hypotenuse of a right-angled triangle from two perpendicular side lengths.

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Apply sine, cosine and tangent ratios (SOHCAHTOA) in right-angled triangles and simplify to lowest terms.

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Apply circle theorems for the angle at the centre (2× circumference angle) and opposite angles in a cyclic quadrilateral.

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Stationary & turning points of curves

Set the first derivative dy/dx = 0 to locate the stationary point or minimum turning value of a quadratic curve.

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